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Finding the Third Proportional to 28,414 and 42,459

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Solution

The third proportional to 28,414 and 42,459 is: 63,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,414 : 42,459 = 42,459 : x
  2. Step 2: Convert to fraction form
    28,414/42,459 = 42,459/x
  3. Step 3: Cross multiply
    28,414x = 42,459 × 42,459
  4. Step 4: Simplify right side
    28,414x = 1,802,766,681
  5. Step 5: Solve for x
    x = 1,802,766,681/28,414
  6. Step 6: Final answer
    x = 63,446.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.